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Finding the Third Proportional to 101,428.50 and 157,674

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Solution

The third proportional to 101,428.50 and 157,674 is: 245,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428.50 : 157,674 = 157,674 : x
  2. Step 2: Convert to fraction form
    101,428.50/157,674 = 157,674/x
  3. Step 3: Cross multiply
    101,428.50x = 157,674 × 157,674
  4. Step 4: Simplify right side
    101,428.50x = 24,861,090,276
  5. Step 5: Solve for x
    x = 24,861,090,276/101,428.50
  6. Step 6: Final answer
    x = 245,109.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.